Spectral computation of reactive bi-directional hydromagnetic non-Newtonian convection flow from a stretching upper parabolic surface in non-Darcy porous medium

Shahid, A; Bhatti, MM; Beg, OA; Animasaun, IL; Javid, K

Abstract

The current article presents a mathematical model for bi-directional convection
magnetohydrodynamic (MHD) tangent hyperbolic nanofluid flow from the upper horizontal
subsurface of a stretching parabolic surface to a non-Darcian porous medium, as a simulation of
nano-coating. Chemical reaction, activation energy and thermosolutal buoyancy effects are
included. The Darcy-Brinkman-Forchheimer model is deployed which permits the analysis of
inertial (second order) porous drag effects. The Buongiorno nanoscale model is deployed which
includes Brownian motion and thermophoresis effects. The dimensionless, transformed, nonlinear, coupled ordinary differential equations are solved by implementing the spectral relaxation
method (SRM). Validation with previous studies is included. The numerical influence of key
parameters on transport characteristics is evaluated and visualized graphically. Velocity is elevated (and momentum boundary layer thickness is reduced) with increasing wall thickness parameter,
permeability parameter, Forchheimer parameter, Weissenberg (rheological) parameter and
modified Hartmann (magnetic body force) number. Velocity enhancement is also computed with
increment in stretching rate parameter, rheological power-law index, thermal Grashof number, and
species (solutal) Grashof number, and momentum boundary layer thickness diminishes.
Temperature is suppressed with increasing stretching rate index and Prandtl number whereas it is
substantially elevated with increasing Brownian motion and thermophoresis parameters. Velocity
and temperature profiles are reduced adjacent to the parabolic surface with larger wall thickness
parameter for stretching rate index < 1, whereas the reverse behaviour is observed for stretching
rate index>1. Nano-particle concentration magnitude is depleted with larger numeric of Lewis
number and the Brownian motion parameter, whereas it is enhanced with greater values of the
stretching index and thermophoresis parameter. The nanoparticle concentration magnitude is
reduced with an increase in chemical reaction rate parameter whereas it is boosted with activation
energy parameter. Skin friction, Nusselt number and Sherwood number are also computed. The
study is relevant to electromagnetic nano-materials coating processes with complex chemical
reactions.

Citation

Shahid, A., Bhatti, M., Beg, O., Animasaun, I., & Javid, K. (2021). Spectral computation of reactive bi-directional hydromagnetic non-Newtonian convection flow from a stretching upper parabolic surface in non-Darcy porous medium. International Journal of Modern Physics B, 35(29), 2150294. https://doi.org/10.1142/S0217979221502945

• Journal Article Type: Article
• Acceptance Date: Sep 5, 2021
• Online Publication Date: Oct 25, 2021
• Publication Date: Nov 20, 2021
• Deposit Date: Sep 6, 2021
• Publicly Available Date: Oct 25, 2022
• Journal: International Journal of Modern Physics B
• Print ISSN: 0217-9792
• Electronic ISSN: 1793-6578
• Publisher: World Scientific Publishing
• Volume: 35
• Issue: 29
• Pages: 2150294
• DOI: https://doi.org/10.1142/S0217979221502945
• Publisher URL: https://doi.org/10.1142/S0217979221502945
• Related Public URLs: http://www.worldscientific.com/worldscinet/ijmpb
• Additional Information: Access Information : Electronic version of an article published as International Journal of Modern Physics B, Online Ready, 10.1142/S0217979221502945 © copyright World Scientific Publishing Company 2021 http://www.worldscientific.com/worldscinet/ijmpb